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Finding the Fourth Proportional to 7,215.54, 9,956.16 and 4,382.35

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Solution

The fourth proportional to 7,215.54, 9,956.16 and 4,382.35 is: 6,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.54 : 9,956.16 = 4,382.35 : x
  2. Step 2: Convert to fraction form
    7,215.54/9,956.16 = 4,382.35/x
  3. Step 3: Cross multiply
    7,215.54x = 9,956.16 × 4,382.35
  4. Step 4: Simplify right side
    7,215.54x = 43,631,377.78
  5. Step 5: Solve for x
    x = 43,631,377.78/7,215.54
  6. Step 6: Final answer
    x = 6,046.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.